English

Vortex flow around a circular cylinder above a plane

Fluid Dynamics 2012-08-29 v1

Abstract

The study of vortex flows in the vicinity of multiple solid obstacles is of considerable theoretical interest and practical importance. In particular, the case of flows past a circular cylinder placed above a plane wall has attracted a lot of attention recently. In this case, a stationary vortex is formed in front of the cylinder, in contradistinction to the usual case without the plane where a vortex pair is observed behind the cylinder. In the present work, we apply modern complex analysis techniques to obtain the complex potential for the problem of one point-vortex placed in a uniform stream past a circular cylinder above a plane. A typical streamline pattern is also shown.

Keywords

Cite

@article{arxiv.1208.5663,
  title  = {Vortex flow around a circular cylinder above a plane},
  author = {M. N. Moura and G. L. Vasconcelos},
  journal= {arXiv preprint arXiv:1208.5663},
  year   = {2012}
}

Comments

3 pages, 3 figures

R2 v1 2026-06-21T21:56:20.299Z